SET007 Axioms: SET007+439.ax


%------------------------------------------------------------------------------
% File     : SET007+439 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : Full Adder Circuit.  Part I
% Version  : [Urb08] axioms.
% English  :

% Refs     : [Mat90] Matuszewski (1990), Formalized Mathematics
%          : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
%          : [Urb08] Urban (2006), Email to G. Sutcliffe
% Source   : [Urb08]
% Names    : facirc_1 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  176 (  22 unit)
%            Number of atoms       : 1268 ( 164 equality)
%            Maximal formula depth :   20 (   9 average)
%            Number of connectives : 1324 ( 232 ~  ;   4  |; 646  &)
%                                         (   9 <=>; 433 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   46 (   0 propositional; 1-4 arity)
%            Number of functors    :   77 (  11 constant; 0-4 arity)
%            Number of variables   :  631 (   0 singleton; 618 !;  13 ?)
%            Maximal term depth    :    6 (   2 average)
% SPC      : 

% Comments : The individual reference can be found in [Mat90] by looking for
%            the name provided by [Urb08].
%          : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
%          : These set theory axioms are used in encodings of problems in
%            various domains, including ALG, CAT, GRP, LAT, SET, and TOP.
%------------------------------------------------------------------------------
fof(cc1_facirc_1,axiom,(
    ! [A] :
      ( v1_facirc_1(A)
     => ~ v1_xboole_0(A) ) )).

fof(fc1_facirc_1,axiom,(
    ! [A,B] :
      ( ~ v1_xboole_0(k4_tarski(A,B))
      & v1_facirc_1(k4_tarski(A,B)) ) )).

fof(rc1_facirc_1,axiom,(
    ? [A] :
      ( ~ v1_xboole_0(A)
      & v1_facirc_1(A) ) )).

fof(rc2_facirc_1,axiom,(
    ? [A] : ~ v1_facirc_1(A) )).

fof(cc2_facirc_1,axiom,(
    ! [A] :
      ( m1_subset_1(A,k5_numbers)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v1_facirc_1(A) ) ) )).

fof(cc3_facirc_1,axiom,(
    ! [A] :
      ( v1_xboole_0(A)
     => ~ v2_facirc_1(A) ) )).

fof(fc2_facirc_1,axiom,(
    ! [A] :
      ( ~ v1_facirc_1(A)
     => ( ~ v1_xboole_0(k1_tarski(A))
        & ~ v2_facirc_1(k1_tarski(A)) ) ) )).

fof(fc3_facirc_1,axiom,(
    ! [A,B] :
      ( ( ~ v1_facirc_1(A)
        & ~ v1_facirc_1(B) )
     => ( ~ v1_xboole_0(k2_tarski(A,B))
        & ~ v2_facirc_1(k2_tarski(A,B)) ) ) )).

fof(fc4_facirc_1,axiom,(
    ! [A,B,C] :
      ( ( ~ v1_facirc_1(A)
        & ~ v1_facirc_1(B)
        & ~ v1_facirc_1(C) )
     => ~ v2_facirc_1(k1_enumset1(A,B,C)) ) )).

fof(rc3_facirc_1,axiom,(
    ? [A] :
      ( ~ v1_xboole_0(A)
      & ~ v2_facirc_1(A) ) )).

fof(fc5_facirc_1,axiom,(
    ! [A,B] :
      ( ( ~ v2_facirc_1(A)
        & ~ v2_facirc_1(B) )
     => ~ v2_facirc_1(k2_xboole_0(A,B)) ) )).

fof(fc6_facirc_1,axiom,(
    ! [A,B] :
      ( ~ v2_facirc_1(A)
     => ~ v2_facirc_1(k4_xboole_0(A,B)) ) )).

fof(fc7_facirc_1,axiom,(
    ! [A,B] :
      ( ~ v2_facirc_1(A)
     => ~ v2_facirc_1(k3_xboole_0(A,B)) ) )).

fof(fc8_facirc_1,axiom,(
    ! [A,B] :
      ( ~ v2_facirc_1(A)
     => ~ v2_facirc_1(k3_xboole_0(B,A)) ) )).

fof(fc9_facirc_1,axiom,(
    ! [A] :
      ( v1_facirc_1(A)
     => ( ~ v1_xboole_0(k1_tarski(A))
        & v1_relat_1(k1_tarski(A)) ) ) )).

fof(fc10_facirc_1,axiom,(
    ! [A,B] :
      ( ( v1_facirc_1(A)
        & v1_facirc_1(B) )
     => ( ~ v1_xboole_0(k2_tarski(A,B))
        & v1_relat_1(k2_tarski(A,B)) ) ) )).

fof(fc11_facirc_1,axiom,(
    ! [A,B,C] :
      ( ( v1_facirc_1(A)
        & v1_facirc_1(B)
        & v1_facirc_1(C) )
     => v1_relat_1(k1_enumset1(A,B,C)) ) )).

fof(cc4_facirc_1,axiom,(
    ! [A] :
      ( ( v1_relat_1(A)
        & ~ v2_facirc_1(A) )
     => ( v1_xboole_0(A)
        & v1_relat_1(A)
        & v1_funct_1(A)
        & v2_funct_1(A)
        & v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & ~ v3_xreal_0(A)
        & ~ v2_facirc_1(A) ) ) )).

fof(fc12_facirc_1,axiom,(
    ! [A] :
      ( ~ v1_facirc_1(A)
     => ( ~ v1_xboole_0(k5_finseq_1(A))
        & v1_relat_1(k5_finseq_1(A))
        & v1_funct_1(k5_finseq_1(A))
        & v1_finset_1(k5_finseq_1(A))
        & v1_finseq_1(k5_finseq_1(A))
        & v3_facirc_1(k5_finseq_1(A)) ) ) )).

fof(fc13_facirc_1,axiom,(
    ! [A,B] :
      ( ( ~ v1_facirc_1(A)
        & ~ v1_facirc_1(B) )
     => ( v1_relat_1(k10_finseq_1(A,B))
        & v1_funct_1(k10_finseq_1(A,B))
        & v1_finset_1(k10_finseq_1(A,B))
        & v1_finseq_1(k10_finseq_1(A,B))
        & v3_facirc_1(k10_finseq_1(A,B)) ) ) )).

fof(fc14_facirc_1,axiom,(
    ! [A,B,C] :
      ( ( ~ v1_facirc_1(A)
        & ~ v1_facirc_1(B)
        & ~ v1_facirc_1(C) )
     => ( v1_relat_1(k11_finseq_1(A,B,C))
        & v1_funct_1(k11_finseq_1(A,B,C))
        & v1_finset_1(k11_finseq_1(A,B,C))
        & v1_finseq_1(k11_finseq_1(A,B,C))
        & v3_facirc_1(k11_finseq_1(A,B,C)) ) ) )).

fof(rc4_facirc_1,axiom,(
    ! [A] :
      ( m1_subset_1(A,k5_numbers)
     => ? [B] :
          ( m1_circcomb(B,A)
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v2_funct_1(B)
          & v1_finset_1(B)
          & v1_finseq_1(B)
          & v3_facirc_1(B) ) ) )).

fof(rc5_facirc_1,axiom,(
    ? [A] :
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A)
      & v3_facirc_1(A) ) )).

fof(fc15_facirc_1,axiom,(
    ! [A] :
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v3_facirc_1(A) )
     => ~ v2_facirc_1(k2_relat_1(A)) ) )).

fof(fc16_facirc_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v5_circcomb(A)
        & l1_msualg_1(A)
        & m1_subset_1(B,u1_msualg_1(A)) )
     => ( v1_relat_1(k2_mcart_1(B))
        & v1_funct_1(k2_mcart_1(B)) ) ) )).

fof(fc17_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m1_relset_1(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => ( ~ v1_xboole_0(k13_facirc_1(A,B,C,D))
        & v1_facirc_1(k13_facirc_1(A,B,C,D)) ) ) )).

fof(d1_facirc_1,axiom,(
    ! [A] :
      ( v1_facirc_1(A)
    <=> ? [B,C] : A = k4_tarski(B,C) ) )).

fof(d2_facirc_1,axiom,(
    ! [A] :
      ( v2_facirc_1(A)
    <=> ? [B] :
          ( v1_facirc_1(B)
          & r2_hidden(B,A) ) ) )).

fof(d3_facirc_1,axiom,(
    ! [A] :
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ( v3_facirc_1(A)
      <=> ! [B] :
            ~ ( r2_hidden(B,k1_relat_1(A))
              & v1_facirc_1(k1_funct_1(A,B)) ) ) ) )).

fof(t1_facirc_1,axiom,(
    ! [A] :
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ~ ( v3_facirc_1(A)
          & v2_facirc_1(k2_relat_1(A)) ) ) )).

fof(t2_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ( ( r1_circcomb(A,B)
              & v1_relat_1(k3_msafree2(A))
              & v1_relat_1(k3_msafree2(B)) )
           => v1_relat_1(k3_msafree2(k3_circcomb(A,B))) ) ) ) )).

fof(t3_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v1_circcomb(B)
            & v2_circcomb(B)
            & l1_msualg_1(B) )
         => ( ( v1_relat_1(k3_msafree2(A))
              & v1_relat_1(k3_msafree2(B)) )
           => v1_relat_1(k3_msafree2(k3_circcomb(A,B))) ) ) ) )).

fof(t4_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ( ( r1_circcomb(A,B)
              & r1_xboole_0(k3_msafree2(B),k2_msafree2(A)) )
           => ( r1_tarski(k2_msafree2(A),k2_msafree2(k3_circcomb(A,B)))
              & k2_msafree2(k3_circcomb(A,B)) = k2_xboole_0(k2_msafree2(A),k4_xboole_0(k2_msafree2(B),k3_msafree2(A))) ) ) ) ) )).

fof(t5_facirc_1,axiom,(
    ! [A,B] :
      ( v1_relat_1(B)
     => ( v2_facirc_1(A)
        | r1_xboole_0(A,B) ) ) )).

fof(t6_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v1_circcomb(B)
            & v2_circcomb(B)
            & l1_msualg_1(B) )
         => ( v1_relat_1(k3_msafree2(B))
           => ( v2_facirc_1(k2_msafree2(A))
              | ( r1_tarski(k2_msafree2(A),k2_msafree2(k3_circcomb(A,B)))
                & k2_msafree2(k3_circcomb(A,B)) = k2_xboole_0(k2_msafree2(A),k4_xboole_0(k2_msafree2(B),k3_msafree2(A))) ) ) ) ) ) )).

fof(t7_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v1_circcomb(B)
            & v2_circcomb(B)
            & l1_msualg_1(B) )
         => ( ( v1_relat_1(k3_msafree2(A))
              & v1_relat_1(k3_msafree2(B)) )
           => ( v2_facirc_1(k2_msafree2(A))
              | v2_facirc_1(k2_msafree2(B))
              | k2_msafree2(k3_circcomb(A,B)) = k2_xboole_0(k2_msafree2(A),k2_msafree2(B)) ) ) ) ) )).

fof(t8_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ~ ( r1_circcomb(A,B)
              & ~ v2_facirc_1(k2_msafree2(A))
              & ~ v2_facirc_1(k2_msafree2(B))
              & v2_facirc_1(k2_msafree2(k3_circcomb(A,B))) ) ) ) )).

fof(t9_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v1_circcomb(B)
            & v2_circcomb(B)
            & l1_msualg_1(B) )
         => ~ ( ~ v2_facirc_1(k2_msafree2(A))
              & ~ v2_facirc_1(k2_msafree2(B))
              & v2_facirc_1(k2_msafree2(k3_circcomb(A,B))) ) ) ) )).

fof(d4_facirc_1,axiom,(
    ! [A] :
      ( ( v1_funct_1(A)
        & v1_funct_2(A,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m2_relset_1(A,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => ( A = k1_facirc_1
      <=> ! [B] :
            ( m2_subset_1(B,k5_numbers,k10_circcomb)
           => ! [C] :
                ( m2_subset_1(C,k5_numbers,k10_circcomb)
               => k1_funct_1(A,k10_finseq_1(B,C)) = k4_binarith(B,C) ) ) ) ) )).

fof(d5_facirc_1,axiom,(
    ! [A] :
      ( ( v1_funct_1(A)
        & v1_funct_2(A,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m2_relset_1(A,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => ( A = k2_facirc_1
      <=> ! [B] :
            ( m2_subset_1(B,k5_numbers,k10_circcomb)
           => ! [C] :
                ( m2_subset_1(C,k5_numbers,k10_circcomb)
               => k1_funct_1(A,k10_finseq_1(B,C)) = k3_binarith(B,C) ) ) ) ) )).

fof(d6_facirc_1,axiom,(
    ! [A] :
      ( ( v1_funct_1(A)
        & v1_funct_2(A,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m2_relset_1(A,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => ( A = k3_facirc_1
      <=> ! [B] :
            ( m2_subset_1(B,k5_numbers,k10_circcomb)
           => ! [C] :
                ( m2_subset_1(C,k5_numbers,k10_circcomb)
               => k1_funct_1(A,k10_finseq_1(B,C)) = k12_margrel1(B,C) ) ) ) ) )).

fof(d7_facirc_1,axiom,(
    ! [A] :
      ( ( v1_funct_1(A)
        & v1_funct_2(A,k4_finseq_2(np__3,k10_circcomb),k10_circcomb)
        & m2_relset_1(A,k4_finseq_2(np__3,k10_circcomb),k10_circcomb) )
     => ( A = k4_facirc_1
      <=> ! [B] :
            ( m2_subset_1(B,k5_numbers,k10_circcomb)
           => ! [C] :
                ( m2_subset_1(C,k5_numbers,k10_circcomb)
               => ! [D] :
                    ( m2_subset_1(D,k5_numbers,k10_circcomb)
                   => k1_funct_1(A,k11_finseq_1(B,C,D)) = k3_binarith(k3_binarith(B,C),D) ) ) ) ) ) )).

fof(t10_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_msualg_1(A))
                 => k1_funct_1(k6_circuit2(A,B,C),k2_msualg_1(A,D)) = k1_funct_1(k5_msualg_1(A,D,B),k5_relat_1(k1_msualg_1(A,D),C)) ) ) ) ) )).

fof(d8_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ! [E] :
                      ( m1_subset_1(E,k4_card_3(u4_msualg_1(A,B)))
                     => ( E = k9_facirc_1(A,B,C,D)
                      <=> ? [F] :
                            ( v1_funct_1(F)
                            & v1_funct_2(F,k5_numbers,k4_card_3(u4_msualg_1(A,B)))
                            & m2_relset_1(F,k5_numbers,k4_card_3(u4_msualg_1(A,B)))
                            & E = k8_funct_2(k5_numbers,k4_card_3(u4_msualg_1(A,B)),F,D)
                            & k8_funct_2(k5_numbers,k4_card_3(u4_msualg_1(A,B)),F,np__0) = C
                            & ! [G] :
                                ( m2_subset_1(G,k1_numbers,k5_numbers)
                               => k8_funct_2(k5_numbers,k4_card_3(u4_msualg_1(A,B)),F,k1_nat_1(G,np__1)) = k6_circuit2(A,B,k8_funct_2(k5_numbers,k4_card_3(u4_msualg_1(A,B)),F,G)) ) ) ) ) ) ) ) ) )).

fof(t11_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => k9_facirc_1(A,B,C,np__0) = C ) ) ) )).

fof(t12_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => k9_facirc_1(A,B,C,k1_nat_1(D,np__1)) = k6_circuit2(A,B,k9_facirc_1(A,B,C,D)) ) ) ) ) )).

fof(t13_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ! [E] :
                      ( m2_subset_1(E,k1_numbers,k5_numbers)
                     => k9_facirc_1(A,B,C,k1_nat_1(D,E)) = k9_facirc_1(A,B,k9_facirc_1(A,B,C,D),E) ) ) ) ) ) )).

fof(t14_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => k9_facirc_1(A,B,C,np__1) = k6_circuit2(A,B,C) ) ) ) )).

fof(t15_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => k9_facirc_1(A,B,C,np__2) = k6_circuit2(A,B,k6_circuit2(A,B,C)) ) ) ) )).

fof(t16_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => k9_facirc_1(A,B,C,k1_nat_1(D,np__1)) = k9_facirc_1(A,B,k6_circuit2(A,B,C),D) ) ) ) ) )).

fof(d9_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ! [D] :
                  ( r1_facirc_1(A,B,C,D)
                <=> ! [E] :
                      ( m2_subset_1(E,k1_numbers,k5_numbers)
                     => k1_funct_1(k9_facirc_1(A,B,C,E),D) = k1_funct_1(C,D) ) ) ) ) ) )).

fof(t17_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ! [D] :
                  ( r1_facirc_1(A,B,C,D)
                 => ! [E] :
                      ( m2_subset_1(E,k1_numbers,k5_numbers)
                     => r1_facirc_1(A,B,k9_facirc_1(A,B,C,E),D) ) ) ) ) ) )).

fof(t18_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ! [D] :
                  ( r2_hidden(D,k2_msafree2(A))
                 => r1_facirc_1(A,B,C,D) ) ) ) ) )).

fof(t19_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_msualg_1(A))
                 => ( ! [E] :
                        ( r2_hidden(E,k2_relat_1(k1_msualg_1(A,D)))
                       => r1_facirc_1(A,B,C,E) )
                   => r1_facirc_1(A,B,k6_circuit2(A,B,C),k2_msualg_1(A,D)) ) ) ) ) ) )).

fof(t20_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ( r2_hidden(C,u1_struct_0(k3_circcomb(A,B)))
                & r2_hidden(C,u1_struct_0(k3_circcomb(B,A))) ) ) ) ) )).

fof(t21_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v1_circcomb(B)
            & v2_circcomb(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( r2_hidden(C,k3_msafree2(A))
             => ( r2_hidden(C,k3_msafree2(k3_circcomb(A,B)))
                & r2_hidden(C,k3_msafree2(k3_circcomb(B,A))) ) ) ) ) )).

fof(t22_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( r2_hidden(C,k3_msafree2(B))
             => r2_hidden(C,k3_msafree2(k3_circcomb(A,B))) ) ) ) )).

fof(t23_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v1_circcomb(B)
            & v2_circcomb(B)
            & l1_msualg_1(B) )
         => k3_circcomb(A,B) = k3_circcomb(B,A) ) ) )).

fof(t24_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & v3_circcomb(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & ~ v2_msualg_1(B)
            & v1_circcomb(B)
            & v2_circcomb(B)
            & v3_circcomb(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( v4_msafree2(C,A)
                & v4_circcomb(C,A)
                & v6_circcomb(C,A)
                & l3_msualg_1(C,A) )
             => ! [D] :
                  ( ( v4_msafree2(D,B)
                    & v4_circcomb(D,B)
                    & v6_circcomb(D,B)
                    & l3_msualg_1(D,B) )
                 => k4_circcomb(A,B,C,D) = k4_circcomb(B,A,D,C) ) ) ) ) )).

fof(t25_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & v3_circcomb(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & ~ v2_msualg_1(B)
            & v1_circcomb(B)
            & v2_circcomb(B)
            & v3_circcomb(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & ~ v2_msualg_1(C)
                & v1_circcomb(C)
                & v2_circcomb(C)
                & v3_circcomb(C)
                & l1_msualg_1(C) )
             => ! [D] :
                  ( ( v4_msafree2(D,A)
                    & v6_circcomb(D,A)
                    & l3_msualg_1(D,A) )
                 => ! [E] :
                      ( ( v4_msafree2(E,B)
                        & v6_circcomb(E,B)
                        & l3_msualg_1(E,B) )
                     => ! [F] :
                          ( ( v4_msafree2(F,C)
                            & v6_circcomb(F,C)
                            & l3_msualg_1(F,C) )
                         => k4_circcomb(k3_circcomb(A,B),C,k4_circcomb(A,B,D,E),F) = k4_circcomb(A,k3_circcomb(B,C),D,k4_circcomb(B,C,E,F)) ) ) ) ) ) ) )).

fof(t26_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & v3_circcomb(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & ~ v2_msualg_1(B)
            & v1_circcomb(B)
            & v2_circcomb(B)
            & v3_circcomb(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( v5_msualg_1(C,A)
                & v4_msafree2(C,A)
                & v4_circcomb(C,A)
                & v6_circcomb(C,A)
                & l3_msualg_1(C,A) )
             => ! [D] :
                  ( ( v5_msualg_1(D,B)
                    & v4_msafree2(D,B)
                    & v4_circcomb(D,B)
                    & v6_circcomb(D,B)
                    & l3_msualg_1(D,B) )
                 => ! [E] :
                      ( m1_subset_1(E,k4_card_3(u4_msualg_1(k3_circcomb(A,B),k4_circcomb(A,B,C,D))))
                     => ( m1_subset_1(k7_relat_1(E,u1_struct_0(A)),k4_card_3(u4_msualg_1(A,C)))
                        & m1_subset_1(k7_relat_1(E,u1_struct_0(B)),k4_card_3(u4_msualg_1(B,D))) ) ) ) ) ) ) )).

fof(t27_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v1_circcomb(B)
            & v2_circcomb(B)
            & l1_msualg_1(B) )
         => k3_msafree2(k3_circcomb(A,B)) = k2_xboole_0(k3_msafree2(A),k3_msafree2(B)) ) ) )).

fof(t28_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & v3_circcomb(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & ~ v2_msualg_1(B)
            & v1_circcomb(B)
            & v2_circcomb(B)
            & v3_circcomb(B)
            & l1_msualg_1(B) )
         => ( r1_xboole_0(k4_msafree2(B),k2_msafree2(A))
           => ! [C] :
                ( ( v4_msafree2(C,A)
                  & v4_circcomb(C,A)
                  & v6_circcomb(C,A)
                  & l3_msualg_1(C,A) )
               => ! [D] :
                    ( ( v4_msafree2(D,B)
                      & v4_circcomb(D,B)
                      & v6_circcomb(D,B)
                      & l3_msualg_1(D,B) )
                   => ! [E] :
                        ( m1_subset_1(E,k4_card_3(u4_msualg_1(k3_circcomb(A,B),k4_circcomb(A,B,C,D))))
                       => ! [F] :
                            ( m1_subset_1(F,k4_card_3(u4_msualg_1(A,C)))
                           => ( F = k7_relat_1(E,u1_struct_0(A))
                             => k7_relat_1(k6_circuit2(k3_circcomb(A,B),k4_circcomb(A,B,C,D),E),u1_struct_0(A)) = k6_circuit2(A,C,F) ) ) ) ) ) ) ) ) )).

fof(t29_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & v3_circcomb(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & ~ v2_msualg_1(B)
            & v1_circcomb(B)
            & v2_circcomb(B)
            & v3_circcomb(B)
            & l1_msualg_1(B) )
         => ( r1_xboole_0(k4_msafree2(A),k2_msafree2(B))
           => ! [C] :
                ( ( v4_msafree2(C,A)
                  & v4_circcomb(C,A)
                  & v6_circcomb(C,A)
                  & l3_msualg_1(C,A) )
               => ! [D] :
                    ( ( v4_msafree2(D,B)
                      & v4_circcomb(D,B)
                      & v6_circcomb(D,B)
                      & l3_msualg_1(D,B) )
                   => ! [E] :
                        ( m1_subset_1(E,k4_card_3(u4_msualg_1(k3_circcomb(A,B),k4_circcomb(A,B,C,D))))
                       => ! [F] :
                            ( m1_subset_1(F,k4_card_3(u4_msualg_1(B,D)))
                           => ( F = k7_relat_1(E,u1_struct_0(B))
                             => k7_relat_1(k6_circuit2(k3_circcomb(A,B),k4_circcomb(A,B,C,D),E),u1_struct_0(B)) = k6_circuit2(B,D,F) ) ) ) ) ) ) ) ) )).

fof(t30_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & v3_circcomb(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & ~ v2_msualg_1(B)
            & v1_circcomb(B)
            & v2_circcomb(B)
            & v3_circcomb(B)
            & l1_msualg_1(B) )
         => ( r1_xboole_0(k4_msafree2(B),k2_msafree2(A))
           => ! [C] :
                ( ( v4_msafree2(C,A)
                  & v4_circcomb(C,A)
                  & v6_circcomb(C,A)
                  & l3_msualg_1(C,A) )
               => ! [D] :
                    ( ( v4_msafree2(D,B)
                      & v4_circcomb(D,B)
                      & v6_circcomb(D,B)
                      & l3_msualg_1(D,B) )
                   => ! [E] :
                        ( m1_subset_1(E,k4_card_3(u4_msualg_1(k3_circcomb(A,B),k4_circcomb(A,B,C,D))))
                       => ! [F] :
                            ( m1_subset_1(F,k4_card_3(u4_msualg_1(A,C)))
                           => ( F = k7_relat_1(E,u1_struct_0(A))
                             => ! [G] :
                                  ( m2_subset_1(G,k1_numbers,k5_numbers)
                                 => k7_relat_1(k9_facirc_1(k3_circcomb(A,B),k4_circcomb(A,B,C,D),E,G),u1_struct_0(A)) = k9_facirc_1(A,C,F,G) ) ) ) ) ) ) ) ) ) )).

fof(t31_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & v3_circcomb(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & ~ v2_msualg_1(B)
            & v1_circcomb(B)
            & v2_circcomb(B)
            & v3_circcomb(B)
            & l1_msualg_1(B) )
         => ( r1_xboole_0(k4_msafree2(A),k2_msafree2(B))
           => ! [C] :
                ( ( v4_msafree2(C,A)
                  & v4_circcomb(C,A)
                  & v6_circcomb(C,A)
                  & l3_msualg_1(C,A) )
               => ! [D] :
                    ( ( v4_msafree2(D,B)
                      & v4_circcomb(D,B)
                      & v6_circcomb(D,B)
                      & l3_msualg_1(D,B) )
                   => ! [E] :
                        ( m1_subset_1(E,k4_card_3(u4_msualg_1(k3_circcomb(A,B),k4_circcomb(A,B,C,D))))
                       => ! [F] :
                            ( m1_subset_1(F,k4_card_3(u4_msualg_1(B,D)))
                           => ( F = k7_relat_1(E,u1_struct_0(B))
                             => ! [G] :
                                  ( m2_subset_1(G,k1_numbers,k5_numbers)
                                 => k7_relat_1(k9_facirc_1(k3_circcomb(A,B),k4_circcomb(A,B,C,D),E,G),u1_struct_0(B)) = k9_facirc_1(B,D,F,G) ) ) ) ) ) ) ) ) ) )).

fof(t32_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & v3_circcomb(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & ~ v2_msualg_1(B)
            & v1_circcomb(B)
            & v2_circcomb(B)
            & v3_circcomb(B)
            & l1_msualg_1(B) )
         => ( r1_xboole_0(k4_msafree2(B),k2_msafree2(A))
           => ! [C] :
                ( ( v4_msafree2(C,A)
                  & v4_circcomb(C,A)
                  & v6_circcomb(C,A)
                  & l3_msualg_1(C,A) )
               => ! [D] :
                    ( ( v4_msafree2(D,B)
                      & v4_circcomb(D,B)
                      & v6_circcomb(D,B)
                      & l3_msualg_1(D,B) )
                   => ! [E] :
                        ( m1_subset_1(E,k4_card_3(u4_msualg_1(k3_circcomb(A,B),k4_circcomb(A,B,C,D))))
                       => ! [F] :
                            ( m1_subset_1(F,k4_card_3(u4_msualg_1(A,C)))
                           => ( F = k7_relat_1(E,u1_struct_0(A))
                             => ! [G] :
                                  ( r2_hidden(G,u1_struct_0(A))
                                 => ! [H] :
                                      ( m2_subset_1(H,k1_numbers,k5_numbers)
                                     => k1_funct_1(k9_facirc_1(k3_circcomb(A,B),k4_circcomb(A,B,C,D),E,H),G) = k1_funct_1(k9_facirc_1(A,C,F,H),G) ) ) ) ) ) ) ) ) ) ) )).

fof(t33_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & v3_circcomb(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & ~ v2_msualg_1(B)
            & v1_circcomb(B)
            & v2_circcomb(B)
            & v3_circcomb(B)
            & l1_msualg_1(B) )
         => ( r1_xboole_0(k4_msafree2(A),k2_msafree2(B))
           => ! [C] :
                ( ( v4_msafree2(C,A)
                  & v4_circcomb(C,A)
                  & v6_circcomb(C,A)
                  & l3_msualg_1(C,A) )
               => ! [D] :
                    ( ( v4_msafree2(D,B)
                      & v4_circcomb(D,B)
                      & v6_circcomb(D,B)
                      & l3_msualg_1(D,B) )
                   => ! [E] :
                        ( m1_subset_1(E,k4_card_3(u4_msualg_1(k3_circcomb(A,B),k4_circcomb(A,B,C,D))))
                       => ! [F] :
                            ( m1_subset_1(F,k4_card_3(u4_msualg_1(B,D)))
                           => ( F = k7_relat_1(E,u1_struct_0(B))
                             => ! [G] :
                                  ( r2_hidden(G,u1_struct_0(B))
                                 => ! [H] :
                                      ( m2_subset_1(H,k1_numbers,k5_numbers)
                                     => k1_funct_1(k9_facirc_1(k3_circcomb(A,B),k4_circcomb(A,B,C,D),E,H),G) = k1_funct_1(k9_facirc_1(B,D,F,H),G) ) ) ) ) ) ) ) ) ) ) )).

fof(t34_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & v5_circcomb(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ( v4_circcomb(B,A)
           => ! [C] :
                ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
               => ! [D] :
                    ( m1_subset_1(D,u1_msualg_1(A))
                   => k1_funct_1(k6_circuit2(A,B,C),k2_msualg_1(A,D)) = k1_funct_1(k2_mcart_1(D),k5_relat_1(k1_msualg_1(A,D),C)) ) ) ) ) ) )).

fof(t35_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & v3_circcomb(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & v4_circcomb(B,A)
            & v6_circcomb(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D)
                    & v1_finseq_1(D) )
                 => ! [E] :
                      ( ( v1_relat_1(E)
                        & v1_funct_1(E) )
                     => ( r2_hidden(k4_tarski(D,E),u1_msualg_1(A))
                       => k1_funct_1(k6_circuit2(A,B,C),k4_tarski(D,E)) = k1_funct_1(E,k5_relat_1(D,C)) ) ) ) ) ) ) )).

fof(t36_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & v3_circcomb(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & v4_circcomb(B,A)
            & v6_circcomb(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D)
                    & v1_finseq_1(D) )
                 => ! [E] :
                      ( ( v1_relat_1(E)
                        & v1_funct_1(E) )
                     => ( ( r2_hidden(k4_tarski(D,E),u1_msualg_1(A))
                          & ! [F] :
                              ( r2_hidden(F,k2_relat_1(D))
                             => r1_facirc_1(A,B,C,F) ) )
                       => r1_facirc_1(A,B,k6_circuit2(A,B,C),k4_tarski(D,E)) ) ) ) ) ) ) )).

fof(t37_facirc_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_circcomb(A)
        & l1_msualg_1(A) )
     => k3_msafree2(A) = u1_msualg_1(A) ) )).

fof(t38_facirc_1,axiom,(
    ! [A,B] :
      ( ( v1_relat_1(B)
        & v1_funct_1(B)
        & v1_finseq_1(B) )
     => v1_relat_1(k4_msafree2(k7_circcomb(A,B))) ) )).

fof(t39_facirc_1,axiom,(
    ! [A,B] :
      ( ( v1_relat_1(B)
        & v1_funct_1(B)
        & v1_finseq_1(B)
        & v3_facirc_1(B) )
     => ~ v2_facirc_1(k2_msafree2(k7_circcomb(A,B))) ) )).

fof(t40_facirc_1,axiom,(
    ! [A,B,C] : k2_msafree2(k7_circcomb(A,k6_facirc_1(B,C))) = k2_tarski(B,C) )).

fof(t41_facirc_1,axiom,(
    ! [A,B] :
      ( ~ v1_facirc_1(B)
     => ! [C] :
          ( ~ v1_facirc_1(C)
         => ~ v2_facirc_1(k2_msafree2(k7_circcomb(A,k6_facirc_1(B,C)))) ) ) )).

fof(t42_facirc_1,axiom,(
    ! [A,B,C,D] : k2_msafree2(k7_circcomb(A,k7_facirc_1(B,C,D))) = k1_enumset1(B,C,D) )).

fof(t43_facirc_1,axiom,(
    ! [A,B,C] :
      ( r2_hidden(A,u1_struct_0(k7_circcomb(C,k6_facirc_1(A,B))))
      & r2_hidden(B,u1_struct_0(k7_circcomb(C,k6_facirc_1(A,B))))
      & r2_hidden(k4_tarski(k6_facirc_1(A,B),C),u1_struct_0(k7_circcomb(C,k6_facirc_1(A,B)))) ) )).

fof(t44_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( r2_hidden(A,u1_struct_0(k7_circcomb(D,k7_facirc_1(A,B,C))))
      & r2_hidden(B,u1_struct_0(k7_circcomb(D,k7_facirc_1(A,B,C))))
      & r2_hidden(C,u1_struct_0(k7_circcomb(D,k7_facirc_1(A,B,C)))) ) )).

fof(t45_facirc_1,axiom,(
    ! [A,B,C] :
      ( ( v1_relat_1(C)
        & v1_funct_1(C)
        & v1_finseq_1(C) )
     => ( r2_hidden(B,u1_struct_0(k6_circcomb(A,C,B)))
        & ! [D] :
            ( r2_hidden(D,k2_relat_1(C))
           => r2_hidden(D,u1_struct_0(k6_circcomb(A,C,B))) ) ) ) )).

fof(t46_facirc_1,axiom,(
    ! [A,B,C] :
      ( ( v1_relat_1(C)
        & v1_funct_1(C)
        & v1_finseq_1(C) )
     => ( v2_circcomb(k6_circcomb(A,C,B))
        & v2_msafree2(k6_circcomb(A,C,B)) ) ) )).

fof(t47_facirc_1,axiom,(
    ! [A] :
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => ! [B] : r2_hidden(k4_tarski(A,B),k4_msafree2(k7_circcomb(B,A))) ) )).

fof(d10_facirc_1,axiom,(
    ! [A,B,C] :
      ( ( v1_funct_1(C)
        & v1_funct_2(C,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m2_relset_1(C,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => k10_facirc_1(A,B,C) = k9_circcomb(np__2,k10_circcomb,C,k6_facirc_1(A,B)) ) )).

fof(t48_facirc_1,axiom,(
    ! [A,B,C] :
      ( ( ~ v1_xboole_0(C)
        & v1_finset_1(C) )
     => ! [D] :
          ( ( v1_funct_1(D)
            & v1_funct_2(D,k4_finseq_2(np__2,C),C)
            & m2_relset_1(D,k4_finseq_2(np__2,C),C) )
         => ! [E] :
              ( m1_subset_1(E,k4_card_3(u4_msualg_1(k7_circcomb(D,k6_facirc_1(A,B)),k9_circcomb(np__2,C,D,k6_facirc_1(A,B)))))
             => ( k1_funct_1(k6_circuit2(k7_circcomb(D,k6_facirc_1(A,B)),k9_circcomb(np__2,C,D,k6_facirc_1(A,B)),E),k4_tarski(k6_facirc_1(A,B),D)) = k1_funct_1(D,k6_facirc_1(k1_funct_1(E,A),k1_funct_1(E,B)))
                & k1_funct_1(k6_circuit2(k7_circcomb(D,k6_facirc_1(A,B)),k9_circcomb(np__2,C,D,k6_facirc_1(A,B)),E),A) = k1_funct_1(E,A)
                & k1_funct_1(k6_circuit2(k7_circcomb(D,k6_facirc_1(A,B)),k9_circcomb(np__2,C,D,k6_facirc_1(A,B)),E),B) = k1_funct_1(E,B) ) ) ) ) )).

fof(t49_facirc_1,axiom,(
    ! [A,B,C] :
      ( ( ~ v1_xboole_0(C)
        & v1_finset_1(C) )
     => ! [D] :
          ( ( v1_funct_1(D)
            & v1_funct_2(D,k4_finseq_2(np__2,C),C)
            & m2_relset_1(D,k4_finseq_2(np__2,C),C) )
         => ! [E] :
              ( m1_subset_1(E,k4_card_3(u4_msualg_1(k7_circcomb(D,k6_facirc_1(A,B)),k9_circcomb(np__2,C,D,k6_facirc_1(A,B)))))
             => v1_circuit2(k6_circuit2(k7_circcomb(D,k6_facirc_1(A,B)),k9_circcomb(np__2,C,D,k6_facirc_1(A,B)),E),k7_circcomb(D,k6_facirc_1(A,B)),k9_circcomb(np__2,C,D,k6_facirc_1(A,B))) ) ) ) )).

fof(t50_facirc_1,axiom,(
    ! [A,B,C] :
      ( ( v1_funct_1(C)
        & v1_funct_2(C,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m2_relset_1(C,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => ! [D] :
          ( m1_subset_1(D,k4_card_3(u4_msualg_1(k7_circcomb(C,k6_facirc_1(A,B)),k10_facirc_1(A,B,C))))
         => ( k1_funct_1(k6_circuit2(k7_circcomb(C,k6_facirc_1(A,B)),k10_facirc_1(A,B,C),D),k4_tarski(k6_facirc_1(A,B),C)) = k1_funct_1(C,k6_facirc_1(k1_funct_1(D,A),k1_funct_1(D,B)))
            & k1_funct_1(k6_circuit2(k7_circcomb(C,k6_facirc_1(A,B)),k10_facirc_1(A,B,C),D),A) = k1_funct_1(D,A)
            & k1_funct_1(k6_circuit2(k7_circcomb(C,k6_facirc_1(A,B)),k10_facirc_1(A,B,C),D),B) = k1_funct_1(D,B) ) ) ) )).

fof(t51_facirc_1,axiom,(
    ! [A,B,C] :
      ( ( v1_funct_1(C)
        & v1_funct_2(C,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m2_relset_1(C,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => ! [D] :
          ( m1_subset_1(D,k4_card_3(u4_msualg_1(k7_circcomb(C,k6_facirc_1(A,B)),k10_facirc_1(A,B,C))))
         => v1_circuit2(k6_circuit2(k7_circcomb(C,k6_facirc_1(A,B)),k10_facirc_1(A,B,C),D),k7_circcomb(C,k6_facirc_1(A,B)),k10_facirc_1(A,B,C)) ) ) )).

fof(d11_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(np__3,k10_circcomb),k10_circcomb)
        & m2_relset_1(D,k4_finseq_2(np__3,k10_circcomb),k10_circcomb) )
     => k11_facirc_1(A,B,C,D) = k9_circcomb(np__3,k10_circcomb,D,k7_facirc_1(A,B,C)) ) )).

fof(t52_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(D)
        & v1_finset_1(D) )
     => ! [E] :
          ( ( v1_funct_1(E)
            & v1_funct_2(E,k4_finseq_2(np__3,D),D)
            & m2_relset_1(E,k4_finseq_2(np__3,D),D) )
         => ! [F] :
              ( m1_subset_1(F,k4_card_3(u4_msualg_1(k7_circcomb(E,k7_facirc_1(A,B,C)),k9_circcomb(np__3,D,E,k7_facirc_1(A,B,C)))))
             => ( k1_funct_1(k6_circuit2(k7_circcomb(E,k7_facirc_1(A,B,C)),k9_circcomb(np__3,D,E,k7_facirc_1(A,B,C)),F),k4_tarski(k7_facirc_1(A,B,C),E)) = k1_funct_1(E,k7_facirc_1(k1_funct_1(F,A),k1_funct_1(F,B),k1_funct_1(F,C)))
                & k1_funct_1(k6_circuit2(k7_circcomb(E,k7_facirc_1(A,B,C)),k9_circcomb(np__3,D,E,k7_facirc_1(A,B,C)),F),A) = k1_funct_1(F,A)
                & k1_funct_1(k6_circuit2(k7_circcomb(E,k7_facirc_1(A,B,C)),k9_circcomb(np__3,D,E,k7_facirc_1(A,B,C)),F),B) = k1_funct_1(F,B)
                & k1_funct_1(k6_circuit2(k7_circcomb(E,k7_facirc_1(A,B,C)),k9_circcomb(np__3,D,E,k7_facirc_1(A,B,C)),F),C) = k1_funct_1(F,C) ) ) ) ) )).

fof(t53_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(D)
        & v1_finset_1(D) )
     => ! [E] :
          ( ( v1_funct_1(E)
            & v1_funct_2(E,k4_finseq_2(np__3,D),D)
            & m2_relset_1(E,k4_finseq_2(np__3,D),D) )
         => ! [F] :
              ( m1_subset_1(F,k4_card_3(u4_msualg_1(k7_circcomb(E,k7_facirc_1(A,B,C)),k9_circcomb(np__3,D,E,k7_facirc_1(A,B,C)))))
             => v1_circuit2(k6_circuit2(k7_circcomb(E,k7_facirc_1(A,B,C)),k9_circcomb(np__3,D,E,k7_facirc_1(A,B,C)),F),k7_circcomb(E,k7_facirc_1(A,B,C)),k9_circcomb(np__3,D,E,k7_facirc_1(A,B,C))) ) ) ) )).

fof(t54_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(np__3,k10_circcomb),k10_circcomb)
        & m2_relset_1(D,k4_finseq_2(np__3,k10_circcomb),k10_circcomb) )
     => ! [E] :
          ( m1_subset_1(E,k4_card_3(u4_msualg_1(k7_circcomb(D,k7_facirc_1(A,B,C)),k11_facirc_1(A,B,C,D))))
         => ( k1_funct_1(k6_circuit2(k7_circcomb(D,k7_facirc_1(A,B,C)),k11_facirc_1(A,B,C,D),E),k4_tarski(k7_facirc_1(A,B,C),D)) = k1_funct_1(D,k7_facirc_1(k1_funct_1(E,A),k1_funct_1(E,B),k1_funct_1(E,C)))
            & k1_funct_1(k6_circuit2(k7_circcomb(D,k7_facirc_1(A,B,C)),k11_facirc_1(A,B,C,D),E),A) = k1_funct_1(E,A)
            & k1_funct_1(k6_circuit2(k7_circcomb(D,k7_facirc_1(A,B,C)),k11_facirc_1(A,B,C,D),E),B) = k1_funct_1(E,B)
            & k1_funct_1(k6_circuit2(k7_circcomb(D,k7_facirc_1(A,B,C)),k11_facirc_1(A,B,C,D),E),C) = k1_funct_1(E,C) ) ) ) )).

fof(t55_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(np__3,k10_circcomb),k10_circcomb)
        & m2_relset_1(D,k4_finseq_2(np__3,k10_circcomb),k10_circcomb) )
     => ! [E] :
          ( m1_subset_1(E,k4_card_3(u4_msualg_1(k7_circcomb(D,k7_facirc_1(A,B,C)),k11_facirc_1(A,B,C,D))))
         => v1_circuit2(k6_circuit2(k7_circcomb(D,k7_facirc_1(A,B,C)),k11_facirc_1(A,B,C,D),E),k7_circcomb(D,k7_facirc_1(A,B,C)),k11_facirc_1(A,B,C,D)) ) ) )).

fof(d12_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m2_relset_1(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => k12_facirc_1(A,B,C,D) = k3_circcomb(k7_circcomb(D,k6_facirc_1(A,B)),k7_circcomb(D,k6_facirc_1(k4_tarski(k6_facirc_1(A,B),D),C))) ) )).

fof(d13_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m2_relset_1(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => k13_facirc_1(A,B,C,D) = k4_tarski(k6_facirc_1(k4_tarski(k6_facirc_1(A,B),D),C),D) ) )).

fof(t56_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m2_relset_1(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => k4_msafree2(k12_facirc_1(A,B,C,D)) = k2_tarski(k4_tarski(k6_facirc_1(A,B),D),k13_facirc_1(A,B,C,D)) ) )).

fof(t57_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m2_relset_1(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => ( A != k4_tarski(k6_facirc_1(B,C),D)
       => k2_msafree2(k12_facirc_1(B,C,A,D)) = k1_enumset1(B,C,A) ) ) )).

fof(d14_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m2_relset_1(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => k14_facirc_1(A,B,C,D) = k4_circcomb(k7_circcomb(D,k6_facirc_1(A,B)),k7_circcomb(D,k6_facirc_1(k4_tarski(k6_facirc_1(A,B),D),C)),k10_facirc_1(A,B,D),k10_facirc_1(k4_tarski(k6_facirc_1(A,B),D),C,D)) ) )).

fof(t58_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m2_relset_1(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => v1_relat_1(k4_msafree2(k12_facirc_1(A,B,C,D))) ) )).

fof(t59_facirc_1,axiom,(
    ! [A] :
      ( ( v1_funct_1(A)
        & v1_funct_2(A,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m2_relset_1(A,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => ! [B] :
          ( ~ v1_facirc_1(B)
         => ! [C] :
              ( ~ v1_facirc_1(C)
             => ! [D] :
                  ( ~ v1_facirc_1(D)
                 => ~ v2_facirc_1(k2_msafree2(k12_facirc_1(B,C,D,A))) ) ) ) ) )).

fof(t60_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m2_relset_1(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => ( r2_hidden(A,u1_struct_0(k12_facirc_1(A,B,C,D)))
        & r2_hidden(B,u1_struct_0(k12_facirc_1(A,B,C,D)))
        & r2_hidden(C,u1_struct_0(k12_facirc_1(A,B,C,D))) ) ) )).

fof(t61_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m2_relset_1(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => ( r2_hidden(k4_tarski(k6_facirc_1(A,B),D),u1_struct_0(k12_facirc_1(A,B,C,D)))
        & r2_hidden(k4_tarski(k6_facirc_1(k4_tarski(k6_facirc_1(A,B),D),C),D),u1_struct_0(k12_facirc_1(A,B,C,D))) ) ) )).

fof(t62_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m2_relset_1(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => ! [E] :
          ( m1_subset_1(E,k4_card_3(u4_msualg_1(k12_facirc_1(B,C,A,D),k14_facirc_1(B,C,A,D))))
         => ( A != k4_tarski(k6_facirc_1(B,C),D)
           => ( k15_facirc_1(k12_facirc_1(B,C,A,D),k14_facirc_1(B,C,A,D),k9_facirc_1(k12_facirc_1(B,C,A,D),k14_facirc_1(B,C,A,D),E,np__2),k13_facirc_1(B,C,A,D)) = k1_funct_1(D,k6_facirc_1(k1_funct_1(D,k6_facirc_1(k1_funct_1(E,B),k1_funct_1(E,C))),k1_funct_1(E,A)))
              & k1_funct_1(k9_facirc_1(k12_facirc_1(B,C,A,D),k14_facirc_1(B,C,A,D),E,np__2),k4_tarski(k6_facirc_1(B,C),D)) = k1_funct_1(D,k6_facirc_1(k1_funct_1(E,B),k1_funct_1(E,C)))
              & k1_funct_1(k9_facirc_1(k12_facirc_1(B,C,A,D),k14_facirc_1(B,C,A,D),E,np__2),B) = k1_funct_1(E,B)
              & k1_funct_1(k9_facirc_1(k12_facirc_1(B,C,A,D),k14_facirc_1(B,C,A,D),E,np__2),C) = k1_funct_1(E,C)
              & k1_funct_1(k9_facirc_1(k12_facirc_1(B,C,A,D),k14_facirc_1(B,C,A,D),E,np__2),A) = k1_funct_1(E,A) ) ) ) ) )).

fof(t63_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m2_relset_1(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => ! [E] :
          ( m1_subset_1(E,k4_card_3(u4_msualg_1(k12_facirc_1(B,C,A,D),k14_facirc_1(B,C,A,D))))
         => ( A != k4_tarski(k6_facirc_1(B,C),D)
           => v1_circuit2(k9_facirc_1(k12_facirc_1(B,C,A,D),k14_facirc_1(B,C,A,D),E,np__2),k12_facirc_1(B,C,A,D),k14_facirc_1(B,C,A,D)) ) ) ) )).

fof(t64_facirc_1,axiom,(
    ! [A,B,C] :
      ( A != k4_tarski(k6_facirc_1(B,C),k1_facirc_1)
     => ! [D] :
          ( m1_subset_1(D,k4_card_3(u4_msualg_1(k12_facirc_1(B,C,A,k1_facirc_1),k14_facirc_1(B,C,A,k1_facirc_1))))
         => ! [E] :
              ( m2_subset_1(E,k5_numbers,k10_circcomb)
             => ! [F] :
                  ( m2_subset_1(F,k5_numbers,k10_circcomb)
                 => ! [G] :
                      ( m2_subset_1(G,k5_numbers,k10_circcomb)
                     => ( ( E = k1_funct_1(D,B)
                          & F = k1_funct_1(D,C)
                          & G = k1_funct_1(D,A) )
                       => k15_facirc_1(k12_facirc_1(B,C,A,k1_facirc_1),k14_facirc_1(B,C,A,k1_facirc_1),k9_facirc_1(k12_facirc_1(B,C,A,k1_facirc_1),k14_facirc_1(B,C,A,k1_facirc_1),D,np__2),k13_facirc_1(B,C,A,k1_facirc_1)) = k4_binarith(k4_binarith(E,F),G) ) ) ) ) ) ) )).

fof(t65_facirc_1,axiom,(
    ! [A,B,C] :
      ( A != k4_tarski(k6_facirc_1(B,C),k2_facirc_1)
     => ! [D] :
          ( m1_subset_1(D,k4_card_3(u4_msualg_1(k12_facirc_1(B,C,A,k2_facirc_1),k14_facirc_1(B,C,A,k2_facirc_1))))
         => ! [E] :
              ( m2_subset_1(E,k5_numbers,k10_circcomb)
             => ! [F] :
                  ( m2_subset_1(F,k5_numbers,k10_circcomb)
                 => ! [G] :
                      ( m2_subset_1(G,k5_numbers,k10_circcomb)
                     => ( ( E = k1_funct_1(D,B)
                          & F = k1_funct_1(D,C)
                          & G = k1_funct_1(D,A) )
                       => k15_facirc_1(k12_facirc_1(B,C,A,k2_facirc_1),k14_facirc_1(B,C,A,k2_facirc_1),k9_facirc_1(k12_facirc_1(B,C,A,k2_facirc_1),k14_facirc_1(B,C,A,k2_facirc_1),D,np__2),k13_facirc_1(B,C,A,k2_facirc_1)) = k3_binarith(k3_binarith(E,F),G) ) ) ) ) ) ) )).

fof(t66_facirc_1,axiom,(
    ! [A,B,C] :
      ( A != k4_tarski(k6_facirc_1(B,C),k3_facirc_1)
     => ! [D] :
          ( m1_subset_1(D,k4_card_3(u4_msualg_1(k12_facirc_1(B,C,A,k3_facirc_1),k14_facirc_1(B,C,A,k3_facirc_1))))
         => ! [E] :
              ( m2_subset_1(E,k5_numbers,k10_circcomb)
             => ! [F] :
                  ( m2_subset_1(F,k5_numbers,k10_circcomb)
                 => ! [G] :
                      ( m2_subset_1(G,k5_numbers,k10_circcomb)
                     => ( ( E = k1_funct_1(D,B)
                          & F = k1_funct_1(D,C)
                          & G = k1_funct_1(D,A) )
                       => k15_facirc_1(k12_facirc_1(B,C,A,k3_facirc_1),k14_facirc_1(B,C,A,k3_facirc_1),k9_facirc_1(k12_facirc_1(B,C,A,k3_facirc_1),k14_facirc_1(B,C,A,k3_facirc_1),D,np__2),k13_facirc_1(B,C,A,k3_facirc_1)) = k12_margrel1(k12_margrel1(E,F),G) ) ) ) ) ) ) )).

fof(d15_facirc_1,axiom,(
    ! [A,B,C] : k16_facirc_1(A,B,C) = k13_facirc_1(A,B,C,k1_facirc_1) )).

fof(d16_facirc_1,axiom,(
    ! [A,B,C] : k17_facirc_1(A,B,C) = k14_facirc_1(A,B,C,k1_facirc_1) )).

fof(d17_facirc_1,axiom,(
    ! [A,B,C] : k18_facirc_1(A,B,C) = k3_circcomb(k3_circcomb(k7_circcomb(k3_facirc_1,k6_facirc_1(A,B)),k7_circcomb(k3_facirc_1,k6_facirc_1(B,C))),k7_circcomb(k3_facirc_1,k6_facirc_1(C,A))) )).

fof(d18_facirc_1,axiom,(
    ! [A,B,C] : k19_facirc_1(A,B,C) = k3_circcomb(k18_facirc_1(A,B,C),k7_circcomb(k4_facirc_1,k7_facirc_1(k4_tarski(k6_facirc_1(A,B),k3_facirc_1),k4_tarski(k6_facirc_1(B,C),k3_facirc_1),k4_tarski(k6_facirc_1(C,A),k3_facirc_1)))) )).

fof(d19_facirc_1,axiom,(
    ! [A,B,C] : k20_facirc_1(A,B,C) = k4_circcomb(k3_circcomb(k7_circcomb(k3_facirc_1,k6_facirc_1(A,B)),k7_circcomb(k3_facirc_1,k6_facirc_1(B,C))),k7_circcomb(k3_facirc_1,k6_facirc_1(C,A)),k4_circcomb(k7_circcomb(k3_facirc_1,k6_facirc_1(A,B)),k7_circcomb(k3_facirc_1,k6_facirc_1(B,C)),k10_facirc_1(A,B,k3_facirc_1),k10_facirc_1(B,C,k3_facirc_1)),k10_facirc_1(C,A,k3_facirc_1)) )).

fof(t67_facirc_1,axiom,(
    ! [A,B,C] : v1_relat_1(k4_msafree2(k19_facirc_1(A,B,C))) )).

fof(t68_facirc_1,axiom,(
    ! [A] :
      ( ~ v1_facirc_1(A)
     => ! [B] :
          ( ~ v1_facirc_1(B)
         => ! [C] :
              ( ~ v1_facirc_1(C)
             => ~ v2_facirc_1(k2_msafree2(k19_facirc_1(A,B,C))) ) ) ) )).

fof(t69_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( m1_subset_1(D,k4_card_3(u4_msualg_1(k18_facirc_1(A,B,C),k20_facirc_1(A,B,C))))
     => ! [E] :
          ( m2_subset_1(E,k5_numbers,k10_circcomb)
         => ! [F] :
              ( m2_subset_1(F,k5_numbers,k10_circcomb)
             => ( ( E = k1_funct_1(D,A)
                  & F = k1_funct_1(D,B) )
               => k1_funct_1(k6_circuit2(k18_facirc_1(A,B,C),k20_facirc_1(A,B,C),D),k4_tarski(k6_facirc_1(A,B),k3_facirc_1)) = k12_margrel1(E,F) ) ) ) ) )).

fof(t70_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( m1_subset_1(D,k4_card_3(u4_msualg_1(k18_facirc_1(A,B,C),k20_facirc_1(A,B,C))))
     => ! [E] :
          ( m2_subset_1(E,k5_numbers,k10_circcomb)
         => ! [F] :
              ( m2_subset_1(F,k5_numbers,k10_circcomb)
             => ( ( E = k1_funct_1(D,B)
                  & F = k1_funct_1(D,C) )
               => k1_funct_1(k6_circuit2(k18_facirc_1(A,B,C),k20_facirc_1(A,B,C),D),k4_tarski(k6_facirc_1(B,C),k3_facirc_1)) = k12_margrel1(E,F) ) ) ) ) )).

fof(t71_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( m1_subset_1(D,k4_card_3(u4_msualg_1(k18_facirc_1(A,B,C),k20_facirc_1(A,B,C))))
     => ! [E] :
          ( m2_subset_1(E,k5_numbers,k10_circcomb)
         => ! [F] :
              ( m2_subset_1(F,k5_numbers,k10_circcomb)
             => ( ( E = k1_funct_1(D,C)
                  & F = k1_funct_1(D,A) )
               => k1_funct_1(k6_circuit2(k18_facirc_1(A,B,C),k20_facirc_1(A,B,C),D),k4_tarski(k6_facirc_1(C,A),k3_facirc_1)) = k12_margrel1(E,F) ) ) ) ) )).

fof(d20_facirc_1,axiom,(
    ! [A,B,C] : k21_facirc_1(A,B,C) = k4_tarski(k7_facirc_1(k4_tarski(k6_facirc_1(A,B),k3_facirc_1),k4_tarski(k6_facirc_1(B,C),k3_facirc_1),k4_tarski(k6_facirc_1(C,A),k3_facirc_1)),k4_facirc_1) )).

fof(d21_facirc_1,axiom,(
    ! [A,B,C] : k22_facirc_1(A,B,C) = k4_circcomb(k18_facirc_1(A,B,C),k7_circcomb(k4_facirc_1,k7_facirc_1(k4_tarski(k6_facirc_1(A,B),k3_facirc_1),k4_tarski(k6_facirc_1(B,C),k3_facirc_1),k4_tarski(k6_facirc_1(C,A),k3_facirc_1))),k20_facirc_1(A,B,C),k11_facirc_1(k4_tarski(k6_facirc_1(A,B),k3_facirc_1),k4_tarski(k6_facirc_1(B,C),k3_facirc_1),k4_tarski(k6_facirc_1(C,A),k3_facirc_1),k4_facirc_1)) )).

fof(t72_facirc_1,axiom,(
    ! [A,B,C] :
      ( r2_hidden(A,u1_struct_0(k19_facirc_1(A,B,C)))
      & r2_hidden(B,u1_struct_0(k19_facirc_1(A,B,C)))
      & r2_hidden(C,u1_struct_0(k19_facirc_1(A,B,C))) ) )).

fof(t73_facirc_1,axiom,(
    ! [A,B,C] :
      ( r2_hidden(k4_tarski(k6_facirc_1(A,B),k3_facirc_1),k4_msafree2(k19_facirc_1(A,B,C)))
      & r2_hidden(k4_tarski(k6_facirc_1(B,C),k3_facirc_1),k4_msafree2(k19_facirc_1(A,B,C)))
      & r2_hidden(k4_tarski(k6_facirc_1(C,A),k3_facirc_1),k4_msafree2(k19_facirc_1(A,B,C))) ) )).

fof(t74_facirc_1,axiom,(
    ! [A] :
      ( ~ v1_facirc_1(A)
     => ! [B] :
          ( ~ v1_facirc_1(B)
         => ! [C] :
              ( ~ v1_facirc_1(C)
             => ( r2_hidden(A,k2_msafree2(k19_facirc_1(A,B,C)))
                & r2_hidden(B,k2_msafree2(k19_facirc_1(A,B,C)))
                & r2_hidden(C,k2_msafree2(k19_facirc_1(A,B,C))) ) ) ) ) )).

fof(t75_facirc_1,axiom,(
    ! [A] :
      ( ~ v1_facirc_1(A)
     => ! [B] :
          ( ~ v1_facirc_1(B)
         => ! [C] :
              ( ~ v1_facirc_1(C)
             => ( k2_msafree2(k19_facirc_1(A,B,C)) = k1_enumset1(A,B,C)
                & k4_msafree2(k19_facirc_1(A,B,C)) = k2_xboole_0(k1_enumset1(k4_tarski(k6_facirc_1(A,B),k3_facirc_1),k4_tarski(k6_facirc_1(B,C),k3_facirc_1),k4_tarski(k6_facirc_1(C,A),k3_facirc_1)),k1_struct_0(k19_facirc_1(A,B,C),k21_facirc_1(A,B,C))) ) ) ) ) )).

fof(t76_facirc_1,axiom,(
    ! [A] :
      ( ~ v1_facirc_1(A)
     => ! [B] :
          ( ~ v1_facirc_1(B)
         => ! [C] :
              ( ~ v1_facirc_1(C)
             => ! [D] :
                  ( m1_subset_1(D,k4_card_3(u4_msualg_1(k19_facirc_1(A,B,C),k22_facirc_1(A,B,C))))
                 => ! [E] :
                      ( m2_subset_1(E,k5_numbers,k10_circcomb)
                     => ! [F] :
                          ( m2_subset_1(F,k5_numbers,k10_circcomb)
                         => ( ( E = k1_funct_1(D,A)
                              & F = k1_funct_1(D,B) )
                           => k1_funct_1(k6_circuit2(k19_facirc_1(A,B,C),k22_facirc_1(A,B,C),D),k4_tarski(k6_facirc_1(A,B),k3_facirc_1)) = k12_margrel1(E,F) ) ) ) ) ) ) ) )).

fof(t77_facirc_1,axiom,(
    ! [A] :
      ( ~ v1_facirc_1(A)
     => ! [B] :
          ( ~ v1_facirc_1(B)
         => ! [C] :
              ( ~ v1_facirc_1(C)
             => ! [D] :
                  ( m1_subset_1(D,k4_card_3(u4_msualg_1(k19_facirc_1(A,B,C),k22_facirc_1(A,B,C))))
                 => ! [E] :
                      ( m2_subset_1(E,k5_numbers,k10_circcomb)
                     => ! [F] :
                          ( m2_subset_1(F,k5_numbers,k10_circcomb)
                         => ( ( E = k1_funct_1(D,B)
                              & F = k1_funct_1(D,C) )
                           => k1_funct_1(k6_circuit2(k19_facirc_1(A,B,C),k22_facirc_1(A,B,C),D),k4_tarski(k6_facirc_1(B,C),k3_facirc_1)) = k12_margrel1(E,F) ) ) ) ) ) ) ) )).

fof(t78_facirc_1,axiom,(
    ! [A] :
      ( ~ v1_facirc_1(A)
     => ! [B] :
          ( ~ v1_facirc_1(B)
         => ! [C] :
              ( ~ v1_facirc_1(C)
             => ! [D] :
                  ( m1_subset_1(D,k4_card_3(u4_msualg_1(k19_facirc_1(A,B,C),k22_facirc_1(A,B,C))))
                 => ! [E] :
                      ( m2_subset_1(E,k5_numbers,k10_circcomb)
                     => ! [F] :
                          ( m2_subset_1(F,k5_numbers,k10_circcomb)
                         => ( ( E = k1_funct_1(D,A)
                              & F = k1_funct_1(D,C) )
                           => k1_funct_1(k6_circuit2(k19_facirc_1(A,B,C),k22_facirc_1(A,B,C),D),k4_tarski(k6_facirc_1(C,A),k3_facirc_1)) = k12_margrel1(F,E) ) ) ) ) ) ) ) )).

fof(t79_facirc_1,axiom,(
    ! [A] :
      ( ~ v1_facirc_1(A)
     => ! [B] :
          ( ~ v1_facirc_1(B)
         => ! [C] :
              ( ~ v1_facirc_1(C)
             => ! [D] :
                  ( m1_subset_1(D,k4_card_3(u4_msualg_1(k19_facirc_1(A,B,C),k22_facirc_1(A,B,C))))
                 => ! [E] :
                      ( m2_subset_1(E,k5_numbers,k10_circcomb)
                     => ! [F] :
                          ( m2_subset_1(F,k5_numbers,k10_circcomb)
                         => ! [G] :
                              ( m2_subset_1(G,k5_numbers,k10_circcomb)
                             => ( ( E = k1_funct_1(D,k4_tarski(k6_facirc_1(A,B),k3_facirc_1))
                                  & F = k1_funct_1(D,k4_tarski(k6_facirc_1(B,C),k3_facirc_1))
                                  & G = k1_funct_1(D,k4_tarski(k6_facirc_1(C,A),k3_facirc_1)) )
                               => k15_facirc_1(k19_facirc_1(A,B,C),k22_facirc_1(A,B,C),k6_circuit2(k19_facirc_1(A,B,C),k22_facirc_1(A,B,C),D),k21_facirc_1(A,B,C)) = k3_binarith(k3_binarith(E,F),G) ) ) ) ) ) ) ) ) )).

fof(t80_facirc_1,axiom,(
    ! [A] :
      ( ~ v1_facirc_1(A)
     => ! [B] :
          ( ~ v1_facirc_1(B)
         => ! [C] :
              ( ~ v1_facirc_1(C)
             => ! [D] :
                  ( m1_subset_1(D,k4_card_3(u4_msualg_1(k19_facirc_1(A,B,C),k22_facirc_1(A,B,C))))
                 => ! [E] :
                      ( m2_subset_1(E,k5_numbers,k10_circcomb)
                     => ! [F] :
                          ( m2_subset_1(F,k5_numbers,k10_circcomb)
                         => ( ( E = k1_funct_1(D,A)
                              & F = k1_funct_1(D,B) )
                           => k1_funct_1(k9_facirc_1(k19_facirc_1(A,B,C),k22_facirc_1(A,B,C),D,np__2),k4_tarski(k6_facirc_1(A,B),k3_facirc_1)) = k12_margrel1(E,F) ) ) ) ) ) ) ) )).

fof(t81_facirc_1,axiom,(
    ! [A] :
      ( ~ v1_facirc_1(A)
     => ! [B] :
          ( ~ v1_facirc_1(B)
         => ! [C] :
              ( ~ v1_facirc_1(C)
             => ! [D] :
                  ( m1_subset_1(D,k4_card_3(u4_msualg_1(k19_facirc_1(A,B,C),k22_facirc_1(A,B,C))))
                 => ! [E] :
                      ( m2_subset_1(E,k5_numbers,k10_circcomb)
                     => ! [F] :
                          ( m2_subset_1(F,k5_numbers,k10_circcomb)
                         => ( ( E = k1_funct_1(D,B)
                              & F = k1_funct_1(D,C) )
                           => k1_funct_1(k9_facirc_1(k19_facirc_1(A,B,C),k22_facirc_1(A,B,C),D,np__2),k4_tarski(k6_facirc_1(B,C),k3_facirc_1)) = k12_margrel1(E,F) ) ) ) ) ) ) ) )).

fof(t82_facirc_1,axiom,(
    ! [A] :
      ( ~ v1_facirc_1(A)
     => ! [B] :
          ( ~ v1_facirc_1(B)
         => ! [C] :
              ( ~ v1_facirc_1(C)
             => ! [D] :
                  ( m1_subset_1(D,k4_card_3(u4_msualg_1(k19_facirc_1(A,B,C),k22_facirc_1(A,B,C))))
                 => ! [E] :
                      ( m2_subset_1(E,k5_numbers,k10_circcomb)
                     => ! [F] :
                          ( m2_subset_1(F,k5_numbers,k10_circcomb)
                         => ( ( E = k1_funct_1(D,A)
                              & F = k1_funct_1(D,C) )
                           => k1_funct_1(k9_facirc_1(k19_facirc_1(A,B,C),k22_facirc_1(A,B,C),D,np__2),k4_tarski(k6_facirc_1(C,A),k3_facirc_1)) = k12_margrel1(F,E) ) ) ) ) ) ) ) )).

fof(t83_facirc_1,axiom,(
    ! [A] :
      ( ~ v1_facirc_1(A)
     => ! [B] :
          ( ~ v1_facirc_1(B)
         => ! [C] :
              ( ~ v1_facirc_1(C)
             => ! [D] :
                  ( m1_subset_1(D,k4_card_3(u4_msualg_1(k19_facirc_1(A,B,C),k22_facirc_1(A,B,C))))
                 => ! [E] :
                      ( m2_subset_1(E,k5_numbers,k10_circcomb)
                     => ! [F] :
                          ( m2_subset_1(F,k5_numbers,k10_circcomb)
                         => ! [G] :
                              ( m2_subset_1(G,k5_numbers,k10_circcomb)
                             => ( ( E = k1_funct_1(D,A)
                                  & F = k1_funct_1(D,B)
                                  & G = k1_funct_1(D,C) )
                               => k15_facirc_1(k19_facirc_1(A,B,C),k22_facirc_1(A,B,C),k9_facirc_1(k19_facirc_1(A,B,C),k22_facirc_1(A,B,C),D,np__2),k21_facirc_1(A,B,C)) = k3_binarith(k3_binarith(k12_margrel1(E,F),k12_margrel1(F,G)),k12_margrel1(G,E)) ) ) ) ) ) ) ) ) )).

fof(t84_facirc_1,axiom,(
    ! [A] :
      ( ~ v1_facirc_1(A)
     => ! [B] :
          ( ~ v1_facirc_1(B)
         => ! [C] :
              ( ~ v1_facirc_1(C)
             => ! [D] :
                  ( m1_subset_1(D,k4_card_3(u4_msualg_1(k19_facirc_1(A,B,C),k22_facirc_1(A,B,C))))
                 => v1_circuit2(k9_facirc_1(k19_facirc_1(A,B,C),k22_facirc_1(A,B,C),D,np__2),k19_facirc_1(A,B,C),k22_facirc_1(A,B,C)) ) ) ) ) )).

fof(d22_facirc_1,axiom,(
    ! [A,B,C] : k23_facirc_1(A,B,C) = k3_circcomb(k12_facirc_1(A,B,C,k1_facirc_1),k19_facirc_1(A,B,C)) )).

fof(t85_facirc_1,axiom,(
    ! [A] :
      ( ~ v1_facirc_1(A)
     => ! [B] :
          ( ~ v1_facirc_1(B)
         => ! [C] :
              ( ~ v1_facirc_1(C)
             => k2_msafree2(k23_facirc_1(A,B,C)) = k1_enumset1(A,B,C) ) ) ) )).

fof(t86_facirc_1,axiom,(
    ! [A] :
      ( ~ v1_facirc_1(A)
     => ! [B] :
          ( ~ v1_facirc_1(B)
         => ! [C] :
              ( ~ v1_facirc_1(C)
             => k4_msafree2(k23_facirc_1(A,B,C)) = k2_xboole_0(k2_xboole_0(k2_tarski(k4_tarski(k6_facirc_1(A,B),k1_facirc_1),k13_facirc_1(A,B,C,k1_facirc_1)),k1_enumset1(k4_tarski(k6_facirc_1(A,B),k3_facirc_1),k4_tarski(k6_facirc_1(B,C),k3_facirc_1),k4_tarski(k6_facirc_1(C,A),k3_facirc_1))),k1_struct_0(k19_facirc_1(A,B,C),k21_facirc_1(A,B,C))) ) ) ) )).

fof(t87_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(D)
        & l1_msualg_1(D) )
     => ( D = k23_facirc_1(A,B,C)
       => ( r2_hidden(A,u1_struct_0(D))
          & r2_hidden(B,u1_struct_0(D))
          & r2_hidden(C,u1_struct_0(D)) ) ) ) )).

fof(d23_facirc_1,axiom,(
    ! [A,B,C] : k24_facirc_1(A,B,C) = k4_circcomb(k12_facirc_1(A,B,C,k1_facirc_1),k19_facirc_1(A,B,C),k17_facirc_1(A,B,C),k22_facirc_1(A,B,C)) )).

fof(t88_facirc_1,axiom,(
    ! [A,B,C] : v1_relat_1(k4_msafree2(k23_facirc_1(A,B,C))) )).

fof(t89_facirc_1,axiom,(
    ! [A] :
      ( ~ v1_facirc_1(A)
     => ! [B] :
          ( ~ v1_facirc_1(B)
         => ! [C] :
              ( ~ v1_facirc_1(C)
             => ~ v2_facirc_1(k2_msafree2(k23_facirc_1(A,B,C))) ) ) ) )).

fof(t90_facirc_1,axiom,(
    ! [A,B,C] :
      ( r2_hidden(k16_facirc_1(A,B,C),k4_msafree2(k23_facirc_1(A,B,C)))
      & r2_hidden(k21_facirc_1(A,B,C),k4_msafree2(k23_facirc_1(A,B,C))) ) )).

fof(t91_facirc_1,axiom,(
    ! [A] :
      ( ~ v1_facirc_1(A)
     => ! [B] :
          ( ~ v1_facirc_1(B)
         => ! [C] :
              ( ~ v1_facirc_1(C)
             => ! [D] :
                  ( m1_subset_1(D,k4_card_3(u4_msualg_1(k23_facirc_1(A,B,C),k24_facirc_1(A,B,C))))
                 => ! [E] :
                      ( m2_subset_1(E,k5_numbers,k10_circcomb)
                     => ! [F] :
                          ( m2_subset_1(F,k5_numbers,k10_circcomb)
                         => ! [G] :
                              ( m2_subset_1(G,k5_numbers,k10_circcomb)
                             => ( ( E = k1_funct_1(D,A)
                                  & F = k1_funct_1(D,B)
                                  & G = k1_funct_1(D,C) )
                               => ( k1_funct_1(k9_facirc_1(k23_facirc_1(A,B,C),k24_facirc_1(A,B,C),D,np__2),k16_facirc_1(A,B,C)) = k4_binarith(k4_binarith(E,F),G)
                                  & k1_funct_1(k9_facirc_1(k23_facirc_1(A,B,C),k24_facirc_1(A,B,C),D,np__2),k21_facirc_1(A,B,C)) = k3_binarith(k3_binarith(k12_margrel1(E,F),k12_margrel1(F,G)),k12_margrel1(G,E)) ) ) ) ) ) ) ) ) ) )).

fof(t92_facirc_1,axiom,(
    ! [A] :
      ( ~ v1_facirc_1(A)
     => ! [B] :
          ( ~ v1_facirc_1(B)
         => ! [C] :
              ( ~ v1_facirc_1(C)
             => ! [D] :
                  ( m1_subset_1(D,k4_card_3(u4_msualg_1(k23_facirc_1(A,B,C),k24_facirc_1(A,B,C))))
                 => v1_circuit2(k9_facirc_1(k23_facirc_1(A,B,C),k24_facirc_1(A,B,C),D,np__2),k23_facirc_1(A,B,C),k24_facirc_1(A,B,C)) ) ) ) ) )).

fof(s1_facirc_1,axiom,(
    ? [A] :
      ( v1_funct_1(A)
      & v1_funct_2(A,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
      & m2_relset_1(A,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
      & ! [B] :
          ( m2_subset_1(B,k5_numbers,k10_circcomb)
         => ! [C] :
              ( m2_subset_1(C,k5_numbers,k10_circcomb)
             => k1_funct_1(A,k10_finseq_1(B,C)) = f1_s1_facirc_1(B,C) ) ) ) )).

fof(s2_facirc_1,axiom,(
    ! [A] :
      ( ( v1_funct_1(A)
        & v1_funct_2(A,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m2_relset_1(A,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
            & m2_relset_1(B,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
         => ( ( ! [C] :
                  ( m2_subset_1(C,k5_numbers,k10_circcomb)
                 => ! [D] :
                      ( m2_subset_1(D,k5_numbers,k10_circcomb)
                     => k1_funct_1(A,k10_finseq_1(C,D)) = f1_s2_facirc_1(C,D) ) )
              & ! [C] :
                  ( m2_subset_1(C,k5_numbers,k10_circcomb)
                 => ! [D] :
                      ( m2_subset_1(D,k5_numbers,k10_circcomb)
                     => k1_funct_1(B,k10_finseq_1(C,D)) = f1_s2_facirc_1(C,D) ) ) )
           => A = B ) ) ) )).

fof(s3_facirc_1,axiom,
    ( ? [A] :
        ( v1_funct_1(A)
        & v1_funct_2(A,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m2_relset_1(A,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & ! [B] :
            ( m2_subset_1(B,k5_numbers,k10_circcomb)
           => ! [C] :
                ( m2_subset_1(C,k5_numbers,k10_circcomb)
               => k1_funct_1(A,k10_finseq_1(B,C)) = f1_s3_facirc_1(B,C) ) ) )
    & ! [A] :
        ( ( v1_funct_1(A)
          & v1_funct_2(A,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
          & m2_relset_1(A,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
       => ! [B] :
            ( ( v1_funct_1(B)
              & v1_funct_2(B,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
              & m2_relset_1(B,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
           => ( ( ! [C] :
                    ( m2_subset_1(C,k5_numbers,k10_circcomb)
                   => ! [D] :
                        ( m2_subset_1(D,k5_numbers,k10_circcomb)
                       => k1_funct_1(A,k10_finseq_1(C,D)) = f1_s3_facirc_1(C,D) ) )
                & ! [C] :
                    ( m2_subset_1(C,k5_numbers,k10_circcomb)
                   => ! [D] :
                        ( m2_subset_1(D,k5_numbers,k10_circcomb)
                       => k1_funct_1(B,k10_finseq_1(C,D)) = f1_s3_facirc_1(C,D) ) ) )
             => A = B ) ) ) )).

fof(s4_facirc_1,axiom,(
    ? [A] :
      ( v1_funct_1(A)
      & v1_funct_2(A,k4_finseq_2(np__3,k10_circcomb),k10_circcomb)
      & m2_relset_1(A,k4_finseq_2(np__3,k10_circcomb),k10_circcomb)
      & ! [B] :
          ( m2_subset_1(B,k5_numbers,k10_circcomb)
         => ! [C] :
              ( m2_subset_1(C,k5_numbers,k10_circcomb)
             => ! [D] :
                  ( m2_subset_1(D,k5_numbers,k10_circcomb)
                 => k1_funct_1(A,k11_finseq_1(B,C,D)) = f1_s4_facirc_1(B,C,D) ) ) ) ) )).

fof(s5_facirc_1,axiom,(
    ! [A] :
      ( ( v1_funct_1(A)
        & v1_funct_2(A,k4_finseq_2(np__3,k10_circcomb),k10_circcomb)
        & m2_relset_1(A,k4_finseq_2(np__3,k10_circcomb),k10_circcomb) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,k4_finseq_2(np__3,k10_circcomb),k10_circcomb)
            & m2_relset_1(B,k4_finseq_2(np__3,k10_circcomb),k10_circcomb) )
         => ( ( ! [C] :
                  ( m2_subset_1(C,k5_numbers,k10_circcomb)
                 => ! [D] :
                      ( m2_subset_1(D,k5_numbers,k10_circcomb)
                     => ! [E] :
                          ( m2_subset_1(E,k5_numbers,k10_circcomb)
                         => k1_funct_1(A,k11_finseq_1(C,D,E)) = f1_s5_facirc_1(C,D,E) ) ) )
              & ! [C] :
                  ( m2_subset_1(C,k5_numbers,k10_circcomb)
                 => ! [D] :
                      ( m2_subset_1(D,k5_numbers,k10_circcomb)
                     => ! [E] :
                          ( m2_subset_1(E,k5_numbers,k10_circcomb)
                         => k1_funct_1(B,k11_finseq_1(C,D,E)) = f1_s5_facirc_1(C,D,E) ) ) ) )
           => A = B ) ) ) )).

fof(s6_facirc_1,axiom,
    ( ? [A] :
        ( v1_funct_1(A)
        & v1_funct_2(A,k4_finseq_2(np__3,k10_circcomb),k10_circcomb)
        & m2_relset_1(A,k4_finseq_2(np__3,k10_circcomb),k10_circcomb)
        & ! [B] :
            ( m2_subset_1(B,k5_numbers,k10_circcomb)
           => ! [C] :
                ( m2_subset_1(C,k5_numbers,k10_circcomb)
               => ! [D] :
                    ( m2_subset_1(D,k5_numbers,k10_circcomb)
                   => k1_funct_1(A,k11_finseq_1(B,C,D)) = f1_s6_facirc_1(B,C,D) ) ) ) )
    & ! [A] :
        ( ( v1_funct_1(A)
          & v1_funct_2(A,k4_finseq_2(np__3,k10_circcomb),k10_circcomb)
          & m2_relset_1(A,k4_finseq_2(np__3,k10_circcomb),k10_circcomb) )
       => ! [B] :
            ( ( v1_funct_1(B)
              & v1_funct_2(B,k4_finseq_2(np__3,k10_circcomb),k10_circcomb)
              & m2_relset_1(B,k4_finseq_2(np__3,k10_circcomb),k10_circcomb) )
           => ( ( ! [C] :
                    ( m2_subset_1(C,k5_numbers,k10_circcomb)
                   => ! [D] :
                        ( m2_subset_1(D,k5_numbers,k10_circcomb)
                       => ! [E] :
                            ( m2_subset_1(E,k5_numbers,k10_circcomb)
                           => k1_funct_1(A,k11_finseq_1(C,D,E)) = f1_s6_facirc_1(C,D,E) ) ) )
                & ! [C] :
                    ( m2_subset_1(C,k5_numbers,k10_circcomb)
                   => ! [D] :
                        ( m2_subset_1(D,k5_numbers,k10_circcomb)
                       => ! [E] :
                            ( m2_subset_1(E,k5_numbers,k10_circcomb)
                           => k1_funct_1(B,k11_finseq_1(C,D,E)) = f1_s6_facirc_1(C,D,E) ) ) ) )
             => A = B ) ) ) )).

fof(dt_k1_facirc_1,axiom,
    ( v1_funct_1(k1_facirc_1)
    & v1_funct_2(k1_facirc_1,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
    & m2_relset_1(k1_facirc_1,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )).

fof(dt_k2_facirc_1,axiom,
    ( v1_funct_1(k2_facirc_1)
    & v1_funct_2(k2_facirc_1,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
    & m2_relset_1(k2_facirc_1,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )).

fof(dt_k3_facirc_1,axiom,
    ( v1_funct_1(k3_facirc_1)
    & v1_funct_2(k3_facirc_1,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
    & m2_relset_1(k3_facirc_1,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )).

fof(dt_k4_facirc_1,axiom,
    ( v1_funct_1(k4_facirc_1)
    & v1_funct_2(k4_facirc_1,k4_finseq_2(np__3,k10_circcomb),k10_circcomb)
    & m2_relset_1(k4_facirc_1,k4_finseq_2(np__3,k10_circcomb),k10_circcomb) )).

fof(dt_k5_facirc_1,axiom,(
    ! [A] : m1_circcomb(k5_facirc_1(A),np__1) )).

fof(redefinition_k5_facirc_1,axiom,(
    ! [A] : k5_facirc_1(A) = k5_finseq_1(A) )).

fof(dt_k6_facirc_1,axiom,(
    ! [A,B] : m1_circcomb(k6_facirc_1(A,B),np__2) )).

fof(redefinition_k6_facirc_1,axiom,(
    ! [A,B] : k6_facirc_1(A,B) = k10_finseq_1(A,B) )).

fof(dt_k7_facirc_1,axiom,(
    ! [A,B,C] : m1_circcomb(k7_facirc_1(A,B,C),np__3) )).

fof(redefinition_k7_facirc_1,axiom,(
    ! [A,B,C] : k7_facirc_1(A,B,C) = k11_finseq_1(A,B,C) )).

fof(dt_k8_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers)
        & m1_circcomb(C,A)
        & m1_circcomb(D,B) )
     => m1_circcomb(k8_facirc_1(A,B,C,D),k1_nat_1(A,B)) ) )).

fof(redefinition_k8_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers)
        & m1_circcomb(C,A)
        & m1_circcomb(D,B) )
     => k8_facirc_1(A,B,C,D) = k7_finseq_1(C,D) ) )).

fof(dt_k9_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A)
        & v5_msualg_1(B,A)
        & v4_msafree2(B,A)
        & l3_msualg_1(B,A)
        & m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
        & m1_subset_1(D,k5_numbers) )
     => m1_subset_1(k9_facirc_1(A,B,C,D),k4_card_3(u4_msualg_1(A,B))) ) )).

fof(dt_k10_facirc_1,axiom,(
    ! [A,B,C] :
      ( ( v1_funct_1(C)
        & v1_funct_2(C,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m1_relset_1(C,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => ( v4_msualg_1(k10_facirc_1(A,B,C),k7_circcomb(C,k6_facirc_1(A,B)))
        & v4_msafree2(k10_facirc_1(A,B,C),k7_circcomb(C,k6_facirc_1(A,B)))
        & v4_circcomb(k10_facirc_1(A,B,C),k7_circcomb(C,k6_facirc_1(A,B)))
        & v6_circcomb(k10_facirc_1(A,B,C),k7_circcomb(C,k6_facirc_1(A,B)))
        & l3_msualg_1(k10_facirc_1(A,B,C),k7_circcomb(C,k6_facirc_1(A,B))) ) ) )).

fof(dt_k11_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(np__3,k10_circcomb),k10_circcomb)
        & m1_relset_1(D,k4_finseq_2(np__3,k10_circcomb),k10_circcomb) )
     => ( v4_msualg_1(k11_facirc_1(A,B,C,D),k7_circcomb(D,k7_facirc_1(A,B,C)))
        & v4_msafree2(k11_facirc_1(A,B,C,D),k7_circcomb(D,k7_facirc_1(A,B,C)))
        & v4_circcomb(k11_facirc_1(A,B,C,D),k7_circcomb(D,k7_facirc_1(A,B,C)))
        & v6_circcomb(k11_facirc_1(A,B,C,D),k7_circcomb(D,k7_facirc_1(A,B,C)))
        & l3_msualg_1(k11_facirc_1(A,B,C,D),k7_circcomb(D,k7_facirc_1(A,B,C))) ) ) )).

fof(dt_k12_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m1_relset_1(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => ( ~ v3_struct_0(k12_facirc_1(A,B,C,D))
        & v1_msualg_1(k12_facirc_1(A,B,C,D))
        & ~ v2_msualg_1(k12_facirc_1(A,B,C,D))
        & v1_circcomb(k12_facirc_1(A,B,C,D))
        & v2_circcomb(k12_facirc_1(A,B,C,D))
        & v3_circcomb(k12_facirc_1(A,B,C,D))
        & l1_msualg_1(k12_facirc_1(A,B,C,D)) ) ) )).

fof(dt_k13_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m1_relset_1(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => m1_struct_0(k13_facirc_1(A,B,C,D),k12_facirc_1(A,B,C,D),k4_msafree2(k12_facirc_1(A,B,C,D))) ) )).

fof(dt_k14_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb)
        & m1_relset_1(D,k4_finseq_2(np__2,k10_circcomb),k10_circcomb) )
     => ( v4_msualg_1(k14_facirc_1(A,B,C,D),k12_facirc_1(A,B,C,D))
        & v4_msafree2(k14_facirc_1(A,B,C,D),k12_facirc_1(A,B,C,D))
        & v4_circcomb(k14_facirc_1(A,B,C,D),k12_facirc_1(A,B,C,D))
        & v6_circcomb(k14_facirc_1(A,B,C,D),k12_facirc_1(A,B,C,D))
        & l3_msualg_1(k14_facirc_1(A,B,C,D),k12_facirc_1(A,B,C,D)) ) ) )).

fof(dt_k15_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v1_circcomb(A)
        & l1_msualg_1(A)
        & v4_msafree2(B,A)
        & v6_circcomb(B,A)
        & l3_msualg_1(B,A)
        & m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
        & m1_subset_1(D,u1_struct_0(A)) )
     => m2_subset_1(k15_facirc_1(A,B,C,D),k5_numbers,k10_circcomb) ) )).

fof(redefinition_k15_facirc_1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v1_circcomb(A)
        & l1_msualg_1(A)
        & v4_msafree2(B,A)
        & v6_circcomb(B,A)
        & l3_msualg_1(B,A)
        & m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
        & m1_subset_1(D,u1_struct_0(A)) )
     => k15_facirc_1(A,B,C,D) = k1_funct_1(C,D) ) )).

fof(dt_k16_facirc_1,axiom,(
    ! [A,B,C] : m1_struct_0(k16_facirc_1(A,B,C),k12_facirc_1(A,B,C,k1_facirc_1),k4_msafree2(k12_facirc_1(A,B,C,k1_facirc_1))) )).

fof(dt_k17_facirc_1,axiom,(
    ! [A,B,C] :
      ( v4_msualg_1(k17_facirc_1(A,B,C),k12_facirc_1(A,B,C,k1_facirc_1))
      & v4_msafree2(k17_facirc_1(A,B,C),k12_facirc_1(A,B,C,k1_facirc_1))
      & v4_circcomb(k17_facirc_1(A,B,C),k12_facirc_1(A,B,C,k1_facirc_1))
      & v6_circcomb(k17_facirc_1(A,B,C),k12_facirc_1(A,B,C,k1_facirc_1))
      & l3_msualg_1(k17_facirc_1(A,B,C),k12_facirc_1(A,B,C,k1_facirc_1)) ) )).

fof(dt_k18_facirc_1,axiom,(
    ! [A,B,C] :
      ( ~ v3_struct_0(k18_facirc_1(A,B,C))
      & v1_msualg_1(k18_facirc_1(A,B,C))
      & ~ v2_msualg_1(k18_facirc_1(A,B,C))
      & v1_circcomb(k18_facirc_1(A,B,C))
      & v2_circcomb(k18_facirc_1(A,B,C))
      & v3_circcomb(k18_facirc_1(A,B,C))
      & l1_msualg_1(k18_facirc_1(A,B,C)) ) )).

fof(dt_k19_facirc_1,axiom,(
    ! [A,B,C] :
      ( ~ v3_struct_0(k19_facirc_1(A,B,C))
      & v1_msualg_1(k19_facirc_1(A,B,C))
      & ~ v2_msualg_1(k19_facirc_1(A,B,C))
      & v1_circcomb(k19_facirc_1(A,B,C))
      & v2_circcomb(k19_facirc_1(A,B,C))
      & v3_circcomb(k19_facirc_1(A,B,C))
      & l1_msualg_1(k19_facirc_1(A,B,C)) ) )).

fof(dt_k20_facirc_1,axiom,(
    ! [A,B,C] :
      ( v4_msualg_1(k20_facirc_1(A,B,C),k18_facirc_1(A,B,C))
      & v4_msafree2(k20_facirc_1(A,B,C),k18_facirc_1(A,B,C))
      & v4_circcomb(k20_facirc_1(A,B,C),k18_facirc_1(A,B,C))
      & v6_circcomb(k20_facirc_1(A,B,C),k18_facirc_1(A,B,C))
      & l3_msualg_1(k20_facirc_1(A,B,C),k18_facirc_1(A,B,C)) ) )).

fof(dt_k21_facirc_1,axiom,(
    ! [A,B,C] : m1_struct_0(k21_facirc_1(A,B,C),k19_facirc_1(A,B,C),k4_msafree2(k19_facirc_1(A,B,C))) )).

fof(dt_k22_facirc_1,axiom,(
    ! [A,B,C] :
      ( v4_msualg_1(k22_facirc_1(A,B,C),k19_facirc_1(A,B,C))
      & v4_msafree2(k22_facirc_1(A,B,C),k19_facirc_1(A,B,C))
      & v4_circcomb(k22_facirc_1(A,B,C),k19_facirc_1(A,B,C))
      & v6_circcomb(k22_facirc_1(A,B,C),k19_facirc_1(A,B,C))
      & l3_msualg_1(k22_facirc_1(A,B,C),k19_facirc_1(A,B,C)) ) )).

fof(dt_k23_facirc_1,axiom,(
    ! [A,B,C] :
      ( ~ v3_struct_0(k23_facirc_1(A,B,C))
      & v1_msualg_1(k23_facirc_1(A,B,C))
      & ~ v2_msualg_1(k23_facirc_1(A,B,C))
      & v1_circcomb(k23_facirc_1(A,B,C))
      & v2_circcomb(k23_facirc_1(A,B,C))
      & v3_circcomb(k23_facirc_1(A,B,C))
      & l1_msualg_1(k23_facirc_1(A,B,C)) ) )).

fof(dt_k24_facirc_1,axiom,(
    ! [A,B,C] :
      ( v4_msualg_1(k24_facirc_1(A,B,C),k23_facirc_1(A,B,C))
      & v4_msafree2(k24_facirc_1(A,B,C),k23_facirc_1(A,B,C))
      & v4_circcomb(k24_facirc_1(A,B,C),k23_facirc_1(A,B,C))
      & v6_circcomb(k24_facirc_1(A,B,C),k23_facirc_1(A,B,C))
      & l3_msualg_1(k24_facirc_1(A,B,C),k23_facirc_1(A,B,C)) ) )).
%------------------------------------------------------------------------------